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Some applications of differential subordination to a class of analytic functions

Patel J., Sahoo P.

Demonstratio Mathematica

2002

Vol. 35, nr 4

749-762

We introduce (and investigate various properties and characteristics of) certain class Hn (A, B) of analytic functions in the open unit disc by using the techniques of Briot-Bouquet differential subordination. Relevant connections of the results obtained here with the earlier works are pointed out.

Classes of first-order differential superordinations

Bulboacă T.

Demonstratio Mathematica

2002

Vol. 35, nr 2

287-292

General partial differential subordinations for holomorphic mappings in complex Banach spaces

Hamada H., Kohr G., Liczberski P.

Demonstratio Mathematica

2000

Vol. 33, nr 3

481-487

In this paper, we will consider classes of subordinations involving partial derivatives of holomorphic mappings in complex Banach spaces.